The game on January 17 is a 7.45pm kick-off and will be shown live on Sky Sports.
The club will now get a £150k windfall and can add another £40k by winning the replay.
Manchester City await the winners of the tie, with the 4th round game to be played at the City of Manchester Stadium.
FA Cup fourth round draw: Stoke/Tamworth v Barnsley/Walsall; Cheltenham/Chester v Newcastle; Coventry v Nuneaton/Middlesbrough; West Brom/ Reading v Torquay/Birmingham; Portsmouth v Liverpool; Leicester v Southampton; Bolton v Arsenal; Aston Villa v Port Vale; Brentford v Sunderland; Man City v Wigan/Leeds; Millwall/ Everton v Chelsea; Preston v Crystal Palace; West Ham v Blackburn; Colchester v Derby; Charlton v Leyton Orient; Wolves v Burton/Man Utd.